Assume that the sample is a simple random sample obtained from a normally distributed population of weights of the aspirin in Bayer tablets. Use the table below to find the minimum sample size needed to be 95% confident that the sample standard deviation s is within 10% of σ. Is this sample size practical? σ To be 95% confident that s is within 1% 5% 10% 20% 30% 40% 50% of the value of σ, the sample size n should be at least 19,205 768 192 48

Assume that the sample is a simple random sample obtained from a normally distributed population of weights of the aspirin in Bayer tablets. Use the table below to find the minimum sample size needed to be 95% confident that the sample standard deviation s is within 10% of σ. Is this sample size practical? σ To be 95% confident that s is within 1% 5% 10% 20% 30% 40% 50% of the value of σ, the sample size n should be at least 19,205 768 192 48

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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Question

95% confident that the sample standard deviation s is within 10% of σ.

Is this sample size practical?

σ	To be 95% confident that s is within	1%	5%	10%	20%	30%	40%	50%
of the value of σ, the sample size n should be at least	19,205	768	192	48	21	12	8
To be 99% confident that s is within	1%	5%	10%	20%	30%	40%	50%
of the value of σ, the sample size n should be at least	33,218	1,336	336	85	38	22	14

The minimum sample size needed is:

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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